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322212020020 = 2251110115792363
BaseRepresentation
bin1001011000001010101…
…01010011111100110100
31010210200111202120000021
410230011111103330310
520234342234120040
6404004441454524
732164466660242
oct4540525237464
91123614676007
10322212020020
11114716315740
12525441a1444
13244cc886017
1411849113792
1585ac71d24a
hex4b05553f34

322212020020 has 96 divisors (see below), whose sum is σ = 750223264896. Its totient is φ = 115267776000.

The previous prime is 322212019993. The next prime is 322212020021. The reversal of 322212020020 is 20020212223.

It is a junction number, because it is equal to n+sod(n) for n = 322212019976 and 322212020003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (322212020021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3442359 + ... + 3534721.

It is an arithmetic number, because the mean of its divisors is an integer number (7814825676).

Almost surely, 2322212020020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322212020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375111632448).

322212020020 is an abundant number, since it is smaller than the sum of its proper divisors (428011244876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

322212020020 is a wasteful number, since it uses less digits than its factorization.

322212020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92641 (or 92639 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 322212020020 its reverse (20020212223), we get a palindrome (342232232243).

The spelling of 322212020020 in words is "three hundred twenty-two billion, two hundred twelve million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 101 110 157 202 220 314 404 505 628 785 1010 1111 1570 1727 2020 2222 3140 3454 4444 5555 6908 8635 11110 15857 17270 22220 31714 34540 63428 79285 92363 158570 174427 184726 317140 348854 369452 461815 697708 872135 923630 1015993 1744270 1847260 2031986 3488540 4063972 5079965 9328663 10159930 14500991 18657326 20319860 29001982 37314652 46643315 58003964 72504955 93286630 102615293 145009910 159510901 186573260 205230586 290019820 319021802 410461172 513076465 638043604 797554505 1026152930 1464600091 1595109010 2052305860 2929200182 3190218020 5858400364 7323000455 14646000910 16110601001 29292001820 32221202002 64442404004 80553005005 161106010010 322212020020